diff --git a/lib/java/com/google/android/material/slider/BaseSlider.java b/lib/java/com/google/android/material/slider/BaseSlider.java
index 57d4a4abac8..f551d49cb3b 100644
--- a/lib/java/com/google/android/material/slider/BaseSlider.java
+++ b/lib/java/com/google/android/material/slider/BaseSlider.java
@@ -114,6 +114,7 @@
 import java.lang.annotation.Retention;
 import java.lang.annotation.RetentionPolicy;
 import java.math.BigDecimal;
+import java.math.RoundingMode;
 import java.text.NumberFormat;
 import java.text.ParseException;
 import java.util.ArrayList;
@@ -727,6 +728,32 @@ private boolean isMultipleOfStepSize(double value) {
     return Math.abs(Math.round(result) - result) < THRESHOLD;
   }
 
+  /**
+   * Returns the number of steps between {@code valueFrom} and {@code valueTo}, dividing on the
+   * decimal values because {@code (valueTo - valueFrom) / stepSize} can land just below a whole
+   * number in float arithmetic. valueFrom=-1.5, valueTo=3.7 and stepSize=0.1 is 52 steps, but the
+   * float division gives 51.999996 and casting it to an int silently drops the last tick.
+   */
+  private long getStepCount() {
+    return new BigDecimal(Float.toString(valueTo))
+        .subtract(new BigDecimal(Float.toString(valueFrom)), DECIMAL64)
+        .divide(new BigDecimal(Float.toString(stepSize)), DECIMAL64)
+        .setScale(0, RoundingMode.HALF_UP)
+        .longValue();
+  }
+
+  /**
+   * Returns the value of the tick at {@code stepIndex}. Like {@link #valueLandsOnTick(float)} this
+   * works on the decimal values, so the result lands exactly on the tick instead of drifting.
+   */
+  private float getStepValue(long stepIndex) {
+    return new BigDecimal(Float.toString(valueFrom))
+        .add(
+            new BigDecimal(Float.toString(stepSize)).multiply(BigDecimal.valueOf(stepIndex)),
+            DECIMAL64)
+        .floatValue();
+  }
+
   private void validateStepSize() {
     if (stepSize > 0.0f && !valueLandsOnTick(valueTo)) {
       throw new IllegalStateException(
@@ -3482,7 +3509,7 @@ private void resetThumbWidth() {
 
   private double snapPosition(float position) {
     if (stepSize > 0.0f) {
-      int stepCount = (int) ((valueTo - valueFrom) / stepSize);
+      long stepCount = getStepCount();
       return Math.round(position * stepCount) / (double) stepCount;
     }
 
@@ -3624,6 +3651,13 @@ private float getValueOfTouchPosition() {
     if (isRtl() || isVertical()) {
       position = 1 - position;
     }
+
+    if (stepSize > 0.0f) {
+      // Scaling the snapped position back up by the value range loses the tick alignment in float
+      // arithmetic: valueFrom=0.2, valueTo=4.0 and stepSize=0.05 lands on 2.6499999 rather than
+      // 2.65. Rebuild the value from the tick index instead.
+      return getStepValue(Math.round(position * getStepCount()));
+    }
     return (float) (position * (valueTo - valueFrom) + valueFrom);
   }
 
diff --git a/lib/javatests/com/google/android/material/slider/SliderRoundingErrorTest.java b/lib/javatests/com/google/android/material/slider/SliderRoundingErrorTest.java
index 7d25aa8fcc7..f59b9ed384d 100644
--- a/lib/javatests/com/google/android/material/slider/SliderRoundingErrorTest.java
+++ b/lib/javatests/com/google/android/material/slider/SliderRoundingErrorTest.java
@@ -64,4 +64,45 @@ public void testKnownValues_snapTouchToValue_NoRoundingError() {
       assertThat(slider.getValue()).isEqualTo(i);
     }
   }
+
+  @Test
+  public void testFractionalStepSize_snapTouchToValue_valueLandsExactlyOnTick() {
+    slider.setValueFrom(0.2f);
+    slider.setValueTo(4f);
+    slider.setStepSize(0.05f);
+    slider.setValues(1f);
+
+    touchSliderAtValue(slider, 1f, MotionEvent.ACTION_DOWN);
+    shadowOf(getMainLooper()).idle();
+
+    // These came back as 1.4499999, 1.6999999, ... because the snapped position was scaled back
+    // up by the value range instead of being counted from valueFrom in whole steps.
+    float[] ticks = {1.45f, 1.7f, 1.95f, 2.4f, 2.65f, 2.9f, 3.15f, 3.4f, 3.65f, 3.9f};
+    for (float tick : ticks) {
+      touchSliderAtValue(slider, tick, MotionEvent.ACTION_MOVE);
+      shadowOf(getMainLooper()).idle();
+      assertThat(slider.getValue()).isEqualTo(tick);
+    }
+  }
+
+  @Test
+  public void testFractionalRange_snapTouchToValue_stepCountIsNotTruncated() {
+    slider.setValueFrom(-1.5f);
+    slider.setValueTo(3.7f);
+    slider.setStepSize(0.1f);
+    slider.setValues(-1.5f);
+
+    touchSliderAtValue(slider, -1.5f, MotionEvent.ACTION_DOWN);
+    shadowOf(getMainLooper()).idle();
+
+    // This range is exactly 52 steps, but (3.7 - -1.5) / 0.1 comes out as 51.999996 in float
+    // arithmetic, so the step count used to be truncated to 51 and every value landed off the
+    // 0.1 grid. Touching -1 used to give -0.9901961 and valueTo was never reachable.
+    float[] ticks = {-1f, -0.5f, 0f, 0.5f, 1f, 2.5f, 3.7f};
+    for (float tick : ticks) {
+      touchSliderAtValue(slider, tick, MotionEvent.ACTION_MOVE);
+      shadowOf(getMainLooper()).idle();
+      assertThat(slider.getValue()).isEqualTo(tick);
+    }
+  }
 }